Can anyone help me with a 'simple' scripting issue I have with locating the full path to a user's homedirectory please?

$user = GetObject("LDAP://cn=sillykid,ou=Test users,DC=greyhigh,DC=school,DC=nz")
? $user.homedirectory

returns

\\legolas\sillykid$

What I'd like is to be able to determine the full path to the homedirectory which in this case happens to be: D:\Homedirs\Students\sillykid where D: is on the server \\legolas.

Any thread would be appreciated.

Thank you